Least Common Multiple of 37/256, 59/616, 608/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/256, 59/616, 608/773 quickly i.e. 1327264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/256, 59/616, 608/773 is 1327264.

LCM(37/256, 59/616, 608/773) = 1327264

LCM of 37/256, 59/616, 608/773

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 37/256,59/616,608/773

Given numbers are 37/256,59/616,608/773

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 37,59,608

Least Common Multiple of Numerators i.e. LCM of 37,59,608 is 1327264.

GCF of Denominators means GCF of 256,616,773 as per the given fractions.

GCF of 256,616,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,59,608

LCM of Fractions 37/256,59/616,608/773 is 1327264

Given numbers has no common factors except 1. So, there LCM is their product i.e 1327264

Least Common Multiple of 37,59,608 with GCF Formula

Least Common Multiple of 37,59,608 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 37,59,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,59,608) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,59,608) x common factors =1 x 1 = 1

LCM(37,59,608) = ( 37 × 59 × 608 ) / 1

LCM(37,59,608) = 1327264 / 1

LCM(37,59,608) = 1327264


Lets's calculate GCF of 256,616,773

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1327264/1

Therefore the LCM of Fractions 37/256,59/616,608/773 is 1327264

Greatest Common Factor of 256,616,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,616,773 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 256,616,773 . The biggest common factor number is the GCF number.
So the greatest common factor 256,616,773 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 37/256, 59/616, 608/773

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 37/256, 59/616, 608/773?

Answer: LCM of Numerators as per given numbers 37/256, 59/616, 608/773 is

LCM of Numerators i.e. for 37,59,608 is 1327264

GCF of denominators i.e. for 256,616,773 is 1.

Thus, LCM of Fractions is 1327264.Finally, LCM of Fractions for 37/256, 59/616, 608/773 is 1327264.